If a person standing at the point $(1,2) $ walks $5$ units towards east, then $3$ units towards north and $\sqrt 2$ units along the direction of $\hat i+\hat j$ and then walks $\sqrt 2 $ unit along the direction $\perp$ to this vector towards the starting point. What is the displacement of the person from origin?

Question

(A) $(6+\sqrt 2)\hat i+(7+\sqrt 2)\hat j$

(B)$7\hat i+6\hat j$

(C) $6\hat i+7\hat j$

(D) $(7+\sqrt 2)\hat i+(6+\sqrt 2)\hat j$